1. SylabUZ
2. Wydział Matematyki, Informatyki i Ekonometrii
3. semestr zimowy 2023/2024
4. Computer science and econometrics - drugiego stopnia z tyt. magistra
5. Decision Analysis and Decision Theory

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Decision Analysis and Decision Theory - opis przedmiotu

Cel przedmiotu

Introduction of the student to the selected methods, models and applications of decision analysis and decision theory.

Wymagania wstępne

Zapisz zmiany

Knowing of Basic Linear Algebra, Discrete Mathematics (Graph Theory), Probability Theory. Knowing of basic models of Operations Research.

Zakres tematyczny

Lecture/classes/project
1. General problematics of decision making. Elements of decision situation. Multiple criteria and uncertainty in decision making. Preferences. Mathematical models of
decision situations. Decision support and decision support systems.
2. Multicriteria programming. Methods and examples of applications.
3. Multicriteria decision analysis in the discrete case (finite set of alternatives). Methods, decision rules and examples of applications.
4. Decision making under uncertainty and risk. Multi-stage decision processes. Decision trees.
5. Network methods in the project management. Optimization models. PERT method. CPM-COST method. The problem of resource allocation among activities.
6. Preference models. Preference relations and utility functions. Properties of preference relations. Complete preorders, linear orders and interval orders. Representations of
preference relations by utility function. Valued relations as preference models.
7. Multiple-criteria and group preferences. Pareto optimum. Group and social choice. Methods and rules of social choice. Condorcet paradox and Arrow’s theorem.
8. Voting as a method of group decision making. Methods of voting and election systems. Methods of apportionment.
9. Fair division. Methods and formal approaches.
10. Matching and recruitment systems. Gale-Shapley model.

Metody kształcenia

Traditional lecture. Blackboard exercises consisting in individual, supported by the teacher, solving exercises, group discussions on the methods of solving exercises, individual
consultations, realization of individual project.
 

Efekty uczenia się i metody weryfikacji osiągania efektów uczenia się

Opis efektu	Symbole efektów	Metody weryfikacji	Forma zajęć

Warunki zaliczenia

The final grade from the subject takes into account grade from the classes (30%), grade from the project (30%) and grade from the exam (40%) under the assumption that the
student has achieved all assumed educational outcomes at a sufficient degree.

Literatura podstawowa

1. M. Q. Anderson, R. J. Lievano, Quantitative Management, Kent Pub. Co, 1986
2. S. Cooke, N. Slack, Making Management Decisions, Pearson Education Limited, 1992
3. D. A. Moore, Managerial Decision Making, Edward Elgar Publishing, 2011

Literatura uzupełniająca

1.J. Curwin, R. Slater, Quantitative Methods for Business Decisions, Cengage Learning  
    EMEA, 1991

2. B. Roy, Multicriteria Methodology for Decision Aiding, Springer 1996

Uwagi

Zmodyfikowane przez dr Ewa Synówka (ostatnia modyfikacja: 10-04-2024 21:11)